Some linear preserver problems on block triangular matrix algebras

✍ Scribed by Wai-Leong Chooi; Ming-Huat Lim

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 206 KB
• Volume: 370
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(03)00365-3

✦ Synopsis

In this article we classify rank-one nonincreasing maps ψ on n-square block triangular matrix algebras with the assumption that ψ(I n ) is of rank n. As applications, we obtain complete classifications of adjugate-commuting maps, and compound-commuting maps on block triangular matrix algebras.